Question

Consider the expression 2√ 3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3
This expression can be represented as the product of the factors...
Options: (3)^(1/2)csc(x) - 2 2csc(x) - (3)^(1/2) (3)^(1/2)csc(x) + 2 2csc(x) + (3)^(1/2)
And...
OPTIONSl (3)^(1/2)cos(x) - 2 2cos(x) - (3)^(1/2) (3)^(1/2)cos(x) + 2 2cos(x) + (3)^(1/2) .

By equating the expression to zero, we get the solutions over the interval [0, 2π] as...
OPTIONS: (pi/6, pi/3, 2pi/3, and 11pi/6) (5pi/6, 7pi/6, 4pi/3, and 5pi/3) (pi/6, 4pi/3, 5pi/3, and 11pi/6) (pi/3, 2pi/3, 5pi/6, and 7pi/6)